Dergi makalesi Açık Erişim
Aydin, Neset; Turkmen, Selin
{
"DOI": "10.4134/CKMS.c170019",
"abstract": "In this paper, we define a set including of all f(a) with a is an element of R generalized derivations of R and is denoted by f(R). It is proved that (i) the mapping g : L (R) -> f(R) given by g (a) = f(-a) for all a is an element of R is a Lie epimorphism with kernel N-sigma,N-tau; (ii) if R is a semiprime ring and sigma is an epimorphism of R, the mapping h : f(R) -> I (R) given by h(f(a)) = i(sigma)(-a) is a Lie epimorphism with kernel 1 (f(R)); (iii) if f(R) is a prime Lie ring and A, B are Lie ideals of R, then [f(A), f(B)] = (0) implies that either f(A) = (0) or f(B) = (0).",
"author": [
{
"family": "Aydin",
"given": " Neset"
},
{
"family": "Turkmen",
"given": " Selin"
}
],
"container_title": "COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY",
"id": "52043",
"issue": "4",
"issued": {
"date-parts": [
[
2017,
1,
1
]
]
},
"page": "827-833",
"title": "ON A LIE RING OF GENERALIZED INNER DERIVATIONS",
"type": "article-journal",
"volume": "32"
}
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